Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
9.2570934642278E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517440800,-4530575639052] |
[a1,a2,a3,a4,a6] |
Generators |
[42436:7066290:1] |
Generators of the group modulo torsion |
j |
31794905164720991157649/192099600000000 |
j-invariant |
L |
9.8360045211898 |
L(r)(E,1)/r! |
Ω |
0.031654433427187 |
Real period |
R |
4.8551672955415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046133 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bs2 18480bv2 |
Quadratic twists by: -4 -7 |